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# If x(x - 5)(x + 2) = 0, is x negative? (1) x2 7x 0 (2) x2 2x

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Joined: 17 Mar 2009
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Kudos [?]: 269 [1] , given: 22

If x(x - 5)(x + 2) = 0, is x negative? (1) x2 7x 0 (2) x2 2x [#permalink]  16 Aug 2009, 22:17
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If x(x - 5)(x + 2) = 0, is x negative?
(1) x2 – 7x ≠ 0
(2) x2 –2x –15 ≠ 0
Director
Joined: 01 Apr 2008
Posts: 906
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 18

Kudos [?]: 302 [1] , given: 18

Re: inequality easy basic.. [#permalink]  17 Aug 2009, 00:08
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crejoc wrote:
If x(x - 5)(x + 2) = 0, is x negative?
(1) x2 – 7x ≠ 0
(2) x2 –2x –15 ≠ 0

C. I assume x2 = x^2

In the given equation, values of x can be 0,5 or -2. We need to check if x can only take -2.
1. x(x-7) ≠ 0 => x≠0 AND x≠7 => x can take values of 5 or -2. Insuff.
2. (x-5)(x+3)≠0 => x≠5 AND x≠-3 => x can take values of 0 or -2. Insuff.

Combining, x can only take -2. So x is always negative.
Re: inequality easy basic..   [#permalink] 17 Aug 2009, 00:08
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# If x(x - 5)(x + 2) = 0, is x negative? (1) x2 7x 0 (2) x2 2x

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